11012102400 has 216 divisors, whose sum is σ = 39138675520. Its totient is φ = 2710609920.

The previous prime is 11012102399. The next prime is 11012102407. The reversal of 11012102400 is 420121011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012102407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227541 + ... + 271659.

Almost surely, 2^11012102400 is an apocalyptic number.

11012102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569337760).

11012102400 is an abundant number, since it is smaller than the sum of its proper divisors (28126573120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11012102400 is a wasteful number, since it uses less digits than its factorization.

11012102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44161 (or 44142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012102400 its reverse (420121011), we get a palindrome (11432223411).

The spelling of 11012102400 in words is "eleven billion, twelve million, one hundred two thousand, four hundred".